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Finding the Third Proportional to 75,642 and 165,133

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Solution

The third proportional to 75,642 and 165,133 is: 360,499.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,642 : 165,133 = 165,133 : x
  2. Step 2: Convert to fraction form
    75,642/165,133 = 165,133/x
  3. Step 3: Cross multiply
    75,642x = 165,133 × 165,133
  4. Step 4: Simplify right side
    75,642x = 27,268,907,689
  5. Step 5: Solve for x
    x = 27,268,907,689/75,642
  6. Step 6: Final answer
    x = 360,499.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.